Answer:
Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower case letter for x in your answers below. (a) Find f(g(x)). f(g(x)) = A(Cx + D) + B (b) Find the slope of the function you found in part (a). slope = (c) Find the vertical intercept of the function you found in part (a). Do not write your answer as a point
B. Angle B= Angle E
As this would only prove the AAA Similarity theorem, but not any Congruence Rule
Answer:
1. members = $ 160 , non members = $ 80
2. members = $ 168 , non members = $ 120
Step-by-step explanation:
For members
Annual membership = $ 144
rent per visit charges = $ 4
For Non members
parking charges = $ 5
admission charges = $ 11
rent per visit = $ 4
(1) for 4 visits
Members pay = $ 144 + 4 x $ 4 = $ 160
Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80
So, non member ship is better.
(2) for 6 visits
Members pay = $ 144 + 6 x $ 4 = $ 168
Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120
So, non member ship is better.
Answer: x-bar = y-bar = 0 whereas z-bar = 8/3
M= (c^2)/8 which is intern equal to 2![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
Find the area, by setting the limits as
= ![4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta](https://tex.z-dn.net/?f=4%5Ccdot%20%5Cint%20_0%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5Cint%20_0%5E2%5Cint%20_%7Br%5E2%7D%5E4%5C%3Ardzdrd%5Ctheta)
![=4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta](https://tex.z-dn.net/?f=%3D4%5Ccdot%20%5Cint%20_0%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5Cint%20_0%5E2r%5Ccdot%20%5C%3A4-r%5E3drd%5Ctheta)
![=4\cdot \int _0^{\frac{\pi }{2}}4d\theta](https://tex.z-dn.net/?f=%3D4%5Ccdot%20%5Cint%20_0%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D4d%5Ctheta)
![=8\pi](https://tex.z-dn.net/?f=%3D8%5Cpi)
Therefore;
Mxy= ![\int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B2%5Cpi%20%7D%5Cint%20_0%5E2%5Cint%20_%7Br%5E2%7D%5E4%5C%3Azrdzdrd%5Ctheta)
z-bar = 8/3
M= 8
dividing it into two volume gives us = 4![\pi](https://tex.z-dn.net/?f=%5Cpi)
means ![4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta](https://tex.z-dn.net/?f=4%5Cpi%20%3D%5Cint%20_0%5E%7B2%5Cpi%20%7D%5Cint%20_0%5E%7B%5Csqrt%7Bc%7D%7D%5Cint%20_r%5Ec%5C%3Ardzdrd%5Ctheta)
![4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)](https://tex.z-dn.net/?f=4%5Cpi%20%3D%5Cleft%28%5Cpi%20c%5E2-2%5Cpi%20%5Cfrac%7Bc%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7B3%7D%5Cright%29)
c=2![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Answer:
do you still need the answer
Step-by-step explanation: